This paper is concerned with a series of three important problems on reliability where complete solutions are still unavailable. These problems have all been researched and approximate solutions are outlined. The three areas of interest are
The government requirement of assurance of high reliability of complex items where the cost of sampling is extremely high.
Confidence intervals for a system in series where component data are available, and
Estimation of the parameters of the Weibull distribution when sampling terminates after the rth failure is observed in a sample of size n.